72976112 has 80 divisors (see below), whose sum is σ = 164572800. Its totient is φ = 31000320.

The previous prime is 72976103. The next prime is 72976147. The reversal of 72976112 is 21167927.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464738 + ... + 464894.

It is an arithmetic number, because the mean of its divisors is an integer number (2057160).

Almost surely, 2^72976112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72976112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82286400).

72976112 is an abundant number, since it is smaller than the sum of its proper divisors (91596688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72976112 is a wasteful number, since it uses less digits than its factorization.

72976112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its digits is 10584, while the sum is 35.

The square root of 72976112 is about 8542.6056914738. The cubic root of 72976112 is about 417.8883274251. Note that the first 3 decimals are identical.

The spelling of 72976112 in words is "seventy-two million, nine hundred seventy-six thousand, one hundred twelve".